A=8ft^2
A=l•w
8=l•w
l=8/w
P=2(l+w)
12=2(8/w+w)
12=2(8/w+w/1)
12=2(8/w+w^2/w)
12=16w^2/w
12=16w
w=12/16
w=3/4=0.75ft
l=8/0.75=10.67ft
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Answer:

Step-by-step explanation:
Hi there!
Because we're given the vertex of the parabola, we can determine its equation in vertex form:
where the vertex is 
Plug in the vertex (0,0)

Now, we must solve for a. Plug in the given point (-2,3) and solve for a:

Therefore, the value of a is
. Plug this back into
:

I hope this helps!